Sunday 27 April 2014

CONGRUENCE OF TRIANGLES D2



Prove that the following triangle is isosceles.



Solution

Given: triangle UTW with T produced to V.
Required to prove: UTW is isosceles
Proof: 

UV = VW (given)

<UVT = <WVT = 900 (given)

TV = VT (common line)

UVT WVT by SAS rule 

TU = TW (Equal corresponding sides)

Hence UTW is isosceles (proved)

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